3 years ago

Given the following System of Equations what is the FIRST step when

Mathematics

1 answer:

Igoryamba3 years ago

5 0

Answer:

the right answer is B ......

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Determine the domain of the function h=9x/x(x^2-49)

Juliette [100K]

ANSWER

$( - \infty , - 7) \cup( - 7 , 0) \cup(0 , 7 )\cup(7 , + \infty )$

EXPLANATION

The given function is

$h(x) = \frac{9x}{x( {x}^{2} - 49) }$

This function is defined for values where the denominator is not equal to zero.

$x( {x}^{2} - 49) \ne0$

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First we must apply the Quotient rule that states,

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This means that our derivative becomes,

$\dfrac{\dfrac{d}{dx}(\sin(3x))x-\dfrac{d}{dx}(x)\sin(3x)}{x^2}$

Now we need to calculate $\dfrac{d}{dx}(\sin(3x))$ and $\dfrac{d}{dx}(x)$

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$\dfrac{d}{dx}(x)=1$

From here the new equation looks like,

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And that is the final result.

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